Practice Test GeeksAMC 12 - - American Mathematics Contest 12 Practice Test

AMC 12 Cheat Sheet 2026

The 30 highest-yield AMC 12 facts, distilled from real exam questions. Print it, save it as a PDF, or study it here β€” free, no sign-up.

AMC 12 exam key facts

  • The AMC 12 is a 25-question multiple-choice competition that covers the full high school curriculum except calculus. Source
  • Students have 75 minutes to complete the AMC 12. Source
  • The AMC 12 has no pass mark, but a score of 85 or higher qualifies an otherwise eligible student to register for the 2027 AIME. Source
  • For the 2026-27 AMC 12, a competition site pays a registration fee ($55 early bird, $75 regular, $115 late) plus $30 for each bundle of ten student licenses, and each license can be used on either AMC 12 A or AMC 12 B. Source
  • Eligible students may take both the AMC 12 A and the AMC 12 B in the same cycle, but they may not take the AMC 10 and the AMC 12 on the same day. Source
Start the Timed AMC 12 Mock Exam β†’
30 questions
75 min time limit
60.00% to pass
  1. What is the value of (5 Γ— 6) Γ· 2? β†’ 15
  2. A coding exercise converts 13 to binary. What is the correct output? β†’ 1101
  3. Which combination of contests may a single student take in one AMC season? β†’ AMC 12A and AMC 12B
  4. How many positive divisors does 72 have? β†’ 12
  5. A right circular cone has radius 3 and height 4. What is its lateral surface area? β†’ 15Ο€
  6. After reading a solution, a student explains aloud why each step is valid and how it links to earlier ideas. Which strategy is this? β†’ Self-explanation (elaboration)
  7. A student gets 18 correct, 3 wrong, and leaves 4 blank. What is the AMC 12 score? β†’ 114
  8. If F1 = F2 = 1 and F(n) = F(n-1) + F(n-2), what is F10? β†’ 55
  9. What is the probability of rolling a sum of 7 with two fair dice? β†’ 1/6
  10. What is the minimum value of x^2 - 6x + 13? β†’ 4
  11. How many diagonals does a convex decagon have? β†’ 35
  12. A prime-sieve program lists every prime less than 30. How many primes does it find? β†’ 10
  13. How many positive divisors does 360 have? β†’ 24
  14. After eliminating exactly one of the five choices, how does a random guess compare with leaving the question blank? β†’ The guess equals the 1.5-point blank on average
  15. How many perfect squares divide 2^4Β·3^6? β†’ 12
  16. How many distinct arrangements of the letters in LEVEL are there? β†’ 30
  17. For how many distinct real values of x does f(x) = xΒ³ - 4x = 0? β†’ 3
  18. In an arithmetic sequence with a₁ = 5 and common difference d = 3, what is a₁₀? β†’ 32
  19. Which competition comes after the AIME for top performers in the U.S. pathway? β†’ USAMO (or USAJMO)
  20. Which practice method best builds AMC 12 readiness? β†’ Taking full past contests under timed conditions, then reviewing every missed problem
  21. In how many ways can 5 people sit in a row if persons A and B must not sit next to each other? β†’ 72
  22. According to Deci and Ryan's self-determination theory, which three needs support intrinsic motivation to study math contests? β†’ Autonomy, competence, relatedness
  23. How should family engagement support classroom management? β†’ Building partnerships with families enhances student learning outcomes
  24. Which expression correctly states the sine angle-addition formula? β†’ sin AΒ·cos B + cos AΒ·sin B
  25. What does the Python expression 2**10 evaluate to? β†’ 1024
  26. Why should a coach explain the AMC 12 scoring rule (6 points correct, 1.5 blank, 0 wrong) to students? β†’ So students make informed decisions about guessing
  27. How long do students have to complete the AMC 12? β†’ 75 minutes
  28. Which response best supports a student who scored well below the AMC 12 honor roll cutoff on a mock test? β†’ Set specific goals on targeted topics and review progress
  29. Which assessment method best supports professional development? β†’ Using multiple formative and summative assessments to guide instruction
  30. If x and y are positive with x + 2y = 10, what is the maximum value of xy? β†’ 25/2
Turn these facts into recall:
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  • A timed, full-length AMC 12 mock exam β€” 30 questions in 75 minutes with a 60% pass mark, modeled on the official exam's question count and time limit, followed by a score report broken down by exam domain.
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  • Progress saved on your device: completed tests, scores and missed questions stay in My Progress, so you can retake only what you got wrong.
  • AMC 12 flashcards built from the same question bank.
  • Free AMC 12 practice tests with the correct answer shown after each question.
Start the Timed AMC 12 Mock Exam β†’
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How this page was made: written with AI tools. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy

Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  1. maa.org β€” Test delivery, eligibility, retake policy Β· verified Oct 2026
  2. maa.org β€” Passing score Β· verified Oct 2026
  3. maa.org β€” Exam format, time limit Β· verified Oct 2026
  4. maa.org β€” Exam dates, fees, late registration Β· verified Oct 2026